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Classification Of Elements And Periodicity In Properties

Question
CBSEENCH11005513

Energy of an electron in the ground state of the hydrogen atom is -2.18 X 10-18J. Calculate the ionization enthalpy of atomic hydrogen in terms of J mol-1.

Solution

The enthalpy required removing an electron in the ground state of hydrogen atom
= - (its energy in the ground state)
= -(-2.18 x 10-18 J)
= 2.18 x 10-18 J
∴ Ionization enthalpy per mole of hydrogen atoms
equals space 2.18 space cross times space 10 to the power of negative 18 end exponent space cross times space 6.022 space cross times space 10 to the power of 23 kJ
equals space 13.127 space straight x 10 to the power of 5 space straight J space mol to the power of negative 1 end exponent